İstanbul Analiz Seminerleri
Reflexivity of Banach lattices and $C(K)$-modules
Mehmet Orhon
University of New Hampshire, Türkiye
We extend the well-known criteria of reflexivity of Banach lattices due to Lozanovsky
and Lotz to the class of nitely generated Banach $C(K)$-modules. Namely we prove that
a finitely generated Banach $C(K)$-module is reflexive if and only if it does not contain any
subspace isomorphic to either $\ell^1$ or $c_0$.
This is joint work with Arkady Kitover.
